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if we take the (x1,y1),(x2,y2) as coordinates the formula was (x-x1)/(x2-x1)=(y-y1)/(y2-y1)
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What it means to be a solution to a linear system algebraically?
A linear system just means it's a line. A solution is just a point that is on that line. It means that the two coordinates of the point solve the equation that makes the line. Alternatively, it could mean there are 2 (or more) lines and the point is where they intersect; meaning its coordinates solve both (or all) equations that make the lines.
How does the bisection method work when solving nonlinear equations?
it works exactly the same as it does with linear equations, you don't need to do any differentiation or anything fancy with this method, just have to plug in values of x, so it shouldn't make a difference if the equation is linear or nonlinear.
When will be the linear equations a1x plus b1y plus c1 equals 0 and a2x plus b2y plus c2 equals 0 has unique solution?
When (the graph of the equations) the two lines intersect. The equations will tell you what the slopes of the lines are, just look at them. If they are different, then the equations have a unique solution..
What is subsituton method?
Its a method used to find out the common solution of a pair of linear equations in two variables. For it, just make the coefficients of any one term and if the coefficients are having same signs, subtract both and if they are having different signs, add them up.
How do you solve linear equations with a fractions G - plus 2 equals 8 3?
one way is you could get rid of the fraction by the multiplying everything denominator of the fraction and then just solving it regularly.
What it means to be a solution to a linear system algebraically?
A linear system just means it's a line. A solution is just a point that is on that line. It means that the two coordinates of the point solve the equation that makes the line. Alternatively, it could mean there are 2 (or more) lines and the point is where they intersect; meaning its coordinates solve both (or all) equations that make the lines.
How were linear equations invented?
carlos bert canospien is the inventer. he lives in 1860s. and i guess it just poped into his mind
Why should you clear decimals when solving linear equations and inequalities?
It makes it allot less confusing. But, that is just my opinion.
How does the bisection method work when solving nonlinear equations?
it works exactly the same as it does with linear equations, you don't need to do any differentiation or anything fancy with this method, just have to plug in values of x, so it shouldn't make a difference if the equation is linear or nonlinear.
What are the coordinates for linear equation y2x and x y12?
y2x - just double the coordinate of y to get x. xy12 - i have no idea
How do you solve imaginary equations?
The answer depends on the nature of the equation. Just as there are different ways of solving a linear equation with a real solution and a quadratic equation with real solutions, and other kinds of equations, there are different methods for solving different kinds of imaginary equations.
When will be the linear equations a1x plus b1y plus c1 equals 0 and a2x plus b2y plus c2 equals 0 has unique solution?
When (the graph of the equations) the two lines intersect. The equations will tell you what the slopes of the lines are, just look at them. If they are different, then the equations have a unique solution..
Why do you clear decimals when solving linear equations and inequalities and example?
Even if you keep the decimal, later on you will still have to remove it. It is just an easier way to solve the equation.
What is subsituton method?
Its a method used to find out the common solution of a pair of linear equations in two variables. For it, just make the coefficients of any one term and if the coefficients are having same signs, subtract both and if they are having different signs, add them up.
How do you solve linear equations with a fractions G - plus 2 equals 8 3?
one way is you could get rid of the fraction by the multiplying everything denominator of the fraction and then just solving it regularly.
Find the fraction which becomes 23 when the numerator is increased by 2 and equal to 47 when the denominator is increased by 4?
this is just a linear system of equations. the way you can think about the original fraction is x/y. Then for the first half of your question, you would get (x+2)/y = 23 and the second part would give you x/(y+4) = 47. now you have two variables and two equations, so just use subsitituion or elimination to solve for x and y :)
How do you identify 2 solutions to a linear equation?
A linear equation is that of a straight line. Any one of the infinitely many points on the line will be solutions. If the equation is in terms of the variables x and y, just pick any two values of x, solve for y and the results will be the coordinates of two solutions.
